{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 波士顿房价预测——价格相关特征数据探索\n",
    "#下面将对于波士顿房价相关的一些特征数据进行探索分析，主要通过图表等可视化工具直观表现数据的分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#导入需要的库包\n",
    "import sys   #导入UCI机器学习知识库，内含波士顿房价相关数据（.csv格式文件，方便pandas调用做数据分析）\n",
    "import numpy as np\n",
    "import pandas as pd               #pandas库提供大量数据分析的方法，包括DataFrame（二维数据表格）和Series（含某种固定类型的一维数组）两类主要数据结构\n",
    "import matplotlib.pyplot as plt   #matplotlib库函数更为细致全面，seaborn库是在matplotlib基础上的封装函数，调用简单，因此一般首选seaborn\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline                #图形出现在notebook中，而不是新窗口"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#读取数据\n",
    "dpath = \"./boston_housing.csv\"  #当前目录文件，其他目录应该用完整的地址\n",
    "df = pd.read_csv(dpath)\n",
    "#显示前5行数据\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "特征信息：\n",
    "CRIM：人均犯罪率 ；\n",
    "ZN：住宅用地的比例（对超过两万五千平方英尺的区域）；整数\n",
    "INDUS：城镇中非零售营业比例；\n",
    "CHAS：是否靠近Charles河的边界；整数\n",
    "NOX：一氧化氮浓度 ；\n",
    "RM：住宅平均房间数；\n",
    "AGE：1940年之前建造的自住房屋的比例；\n",
    "DIS：距离波士顿五个中心的加权距离；\n",
    "RAD：高速公路的便利指数（索引）；整数\n",
    "TAX ：每一万美元财产的全额财产税率； 整数\n",
    "PTRATIO ：城乡师生比例；\n",
    "B ：黑人比例\n",
    "LSTAT ：低收入人群比例\n",
    "标签：\n",
    "MEDV ：自住房屋价格的中值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(506, 14)\n"
     ]
    }
   ],
   "source": [
    "#样本数目和特征与标签数和\n",
    "print(df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX',\n",
      "       'PTRATIO', 'B', 'LSTAT', 'MEDV'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "#特征与标签索引名称\n",
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 下面是具体的数据探索过程\n",
    "通过图表查看特征数据的统计分布，可知道特征与标签、特征之间的关联。\n",
    "数据表的特征类型通常有两种：\n",
    "①数值型特征（int64和float64）\n",
    "②类别型特征（categorical features）或离散型特征。离散型特征具有固定数目的值。如果特征只有两个取值，也成为二元（binary）变量。如果类别型变量的值具有顺序，称为有序（ordinal）类别型变量。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "        vertical-align: middle;\n",
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       "\n",
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.347826</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.083004</td>\n",
       "      <td>356.674032</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.310593</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.280574</td>\n",
       "      <td>91.294864</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>375.377500</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>391.440000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>396.225000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>396.900000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.347826   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.310593    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.000000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO           B  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.083004  356.674032   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.280574   91.294864   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.000000    0.320000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.000000  375.377500   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.000000  391.440000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.000000  396.225000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000  396.900000   \n",
       "\n",
       "            LSTAT        MEDV  \n",
       "count  506.000000  506.000000  \n",
       "mean    12.653063   22.532806  \n",
       "std      7.141062    9.197104  \n",
       "min      1.730000    5.000000  \n",
       "25%      6.950000   17.025000  \n",
       "50%     11.360000   21.200000  \n",
       "75%     16.955000   25.000000  \n",
       "max     37.970000   50.000000  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#统计数值型特征的数字特征信息：未缺失值的数值、均值、标准差、四分位数。\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 单变量分布分析\n",
    "可通过直方图、箱体图、和条形图等方式查看单个特征变量的分布以及是否存在噪声等。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1、数值型特征"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "（1）直方图（histogram）：seaborn的distplot函数或DataFrame的hist函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#标签y（房屋价格）的直方图\n",
    "fig = plt.figure()\n",
    "sns.distplot(df[\"MEDV\"], bins=30, kde=True)  #bins参数控制直方格数， kde参数控制是否画出核密度曲线\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分析：从上图可以看出，房屋价格大致呈正态分布，数据主要集中在20左右，与上面表格的均值相对应；同时可以看到对应价格为50的数据样本比较多，可以判断该价格的样本可能是噪声或者做了其他的处理（如数据截断）。\n",
    "人对于价格的敏感度不是线性的，可做log变换处理。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x00000283E648C748>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E65335C0>]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#hist函数绘制直方图，纵轴为样本频次，而distplot图纵轴为样本的比例。hist图可以同时画多个特征输入的直方图，但是hist图不可以画核密度曲线。\n",
    "features = [\"INDUS\",\"MEDV\"]\n",
    "df[features].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8990358>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E915CDD8>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E919B2B0>],\n",
       "       [<matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8D93828>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8DB9DA0>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8DEA358>],\n",
       "       [<matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8E118D0>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8E3CE80>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8E3CEB8>],\n",
       "       [<matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8E92978>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8EB8EF0>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x00000283E8EE84A8>]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#其他特征数据的分布\n",
    "mfeatures = df.columns[0:12]\n",
    "df[mfeatures].hist(figsize=(16,9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "（2）箱体图boxplot或提琴形图violinplot\n",
    "箱体图中箱体中间的线对应中位数（50%），左边的线对应下分位数Q1（25%），右边的线对应上分位数Q3（75%）；，与箱体相连的延伸线称为须（whisker），表示数据点的整体分布，即位于区间（Q1-IQR， Q3+IQR）内的数据点，其中IQR=Q3-Q1为四分位距；须外面的数据点称为离群点。\n",
    "提琴形图则结合了直方图和箱体图的特点，其中白点为中位数对应的点。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x283e93e2208>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, axes = plt.subplots(1, 2, sharey=True, figsize=(8,6))\n",
    "sns.boxplot(df[\"MEDV\"], ax=axes[0])\n",
    "sns.violinplot(df[\"MEDV\"], ax=axes[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2、离散型特征（或类别型特征）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "（1）频率表value_counts（）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    471\n",
       "1     35\n",
       "Name: CHAS, dtype: int64"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"CHAS\"].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "（2）条形图countplot\n",
    "注意与直方图的区别：\n",
    "①直方图用于查看数值型数据分布，条形图用于查看离散型数据或类别型数据分布\n",
    "②直方图x轴是数值，条形图的x轴可以是数值、字符串或布尔值\n",
    "③直方图的x轴为笛卡尔坐标，条形图中条形顺序可自行定义，一般按高度（频次）排序，有序变量的条形一般按变量值得顺序排序"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Number of occurrences')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEKCAYAAAAIO8L1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAE+9JREFUeJzt3XuwZWV95vHv01yNGptLh2EAbYROIgmK2ijqRCMmFS8ZGhlQEydSpivEKlQsY0Z0HCBxcnEMogzRTE9whIwjIFFBZbwEBTIZA3Qrd7RoGAJdMNAgN1FxgN/8sd8TNu3qcxbdvc7enPP9VO06a73rsn+nq6uffte71rtSVUiStKklky5AkjSdDAhJUicDQpLUyYCQJHUyICRJnQwISVInA0KS1MmAkCR1MiAkSZ22n3QBW2P33Xev5cuXT7oMSXpSWbdu3V1VtWyu/Z7UAbF8+XLWrl076TIk6UklyT/12c9LTJKkTgaEJKmTASFJ6mRASJI6GRCSpE4GhCSpkwEhSepkQEiSOhkQkqROT+onqbeFF/7hmZMuQVNo3YffMukSpImzByFJ6mRASJI6GRCSpE4GhCSpkwEhSepkQEiSOhkQkqROBoQkqZMBIUnqZEBIkjoZEJKkTgaEJKmTASFJ6mRASJI6GRCSpE4GhCSpkwEhSepkQEiSOhkQkqROBoQkqZMBIUnqZEBIkjoZEJKkTgaEJKmTASFJ6mRASJI6DR4QSbZL8p0kX2rr+ya5NMkNSc5OsmNr36mtr2/blw9dmyRp8+ajB3EccP3Y+oeAU6pqBXAPsLq1rwbuqar9gVPafpKkCRk0IJLsDbwO+Ou2HuBQ4Ny2yxnA4W15VVunbX9V21+SNAFD9yA+Cvw74NG2vhtwb1U93NY3AHu15b2AWwHa9vva/pKkCRgsIJL8JnBnVa0bb+7YtXpsGz/vMUnWJlm7cePGbVCpJKnLkD2IlwGHJbkZOIvRpaWPAkuTbN/22Ru4rS1vAPYBaNufAXx/05NW1ZqqWllVK5ctWzZg+ZK0uA0WEFX1vqrau6qWA28CvlFVbwa+CRzZdjsaOK8tn9/Wadu/UVU/1YOQJM2PSTwH8V7g3UnWMxpjOL21nw7s1trfDRw/gdokSc32c++y9arqIuCitnwT8KKOfX4MHDUf9UiS5uaT1JKkTgaEJKmTASFJ6mRASJI6GRCSpE5zBkSSpyZZ0pZ/PslhSXYYvjRJ0iT16UFcAuycZC/gQuCtwKeGLEqSNHl9AiJV9UPgCOA/V9XrgQOGLUuSNGm9AiLJS4A3A19ubfPygJ0kaXL6BMS7gPcBn6+qa5M8m9F8SpKkBWzOnkBVXQxcnOSpbf0m4J1DFyZJmqw+dzG9JMl1tNeGJnleko8PXpkkaaL6XGL6KPAbwN0AVXUl8PIhi5IkTV6vB+Wq6tZNmh4ZoBZJ0hTpczfSrUleClSSHRmNP1w/bFmSpEnr04N4G3AssBej14Ie1NYlSQtYn7uY7mL0DIQkaRHpcxfTGUmWjq3vkuSTw5YlSZq0PpeYnltV986sVNU9wPOHK0mSNA36BMSSJLvMrCTZFafakKQFr88/9CcD/zvJuW39KOBPhitJkjQN+gxSn5lkHfBKIMARVXXd4JVJkiaq76Wi7wL3zOyf5JlVdctgVUmSJm7OgEjyDuBE4A5GT1AHKOC5w5YmSZqkPj2I44BfqKq7hy5GkjQ9+tzFdCtw39CFSJKmS58exE3ARUm+DDw001hVHxmsKknSxPUJiFvaZ8f2kSQtAn1uc/0jgCRPraoHhy9JkjQNfKOcJKmTb5STJHXyjXKSpE6+UU6S1Mk3ykmSOs3ag0iyHfA7VeUb5SRpkZm1B1FVjwCrtuTESXZOclmSK5Ncm2Tmdtl9k1ya5IYkZ7fLViTZqa2vb9uXb8n3SpK2jT6XmP4hyWlJfiXJC2Y+PY57CDi0qp7H6LLUq5McAnwIOKWqVjCaIXZ12381cE9V7Q+c0vaTJE1In0Hql7affzzWVsChsx1UVQX8oK3u0D4zx/12az8DOAn4BKOeykmt/VzgtCRp55EkzbO5xiCWAJ+oqnO25ORtDGMdsD/wl8CNwL1V9XDbZQOjwW/az1sBqurhJPcBuwF3bcl3S5K2zlxjEI8Cb9/Sk1fVI1V1ELA38CLgOV27tZ+ZZds/S3JMkrVJ1m7cuHFLS5MkzaHPGMTXk7wnyT5Jdp35PJEvqap7gYuAQ4ClSWZ6LnsDt7XlDcA+AG37M4Dvd5xrTVWtrKqVy5YteyJlSJKegD4B8buMnnu4hNHlonXA2rkOSrIsydK2/BTg1xg9YPdN4Mi229HAeW35/LZO2/4Nxx8kaXL6zOa67xaee0/gjDYOsQQ4p6q+1Cb+OyvJfwS+A5ze9j8d+Jsk6xn1HN60hd8rSdoG+ryT+i1d7VV15mzHVdVVwPM72m9iNB6xafuPgaPmqkeSND/63OZ68NjyzsCrgG8DswaEJOnJrc8lpneMryd5BvA3g1UkSZoKvab73sQPgRXbuhBJ0nTpMwbxRR57HmEJcACwRQ/OSZKePPqMQfzF2PLDwD9V1YaB6pEkTYk+AXELcHu7y4gkT0myvKpuHrQySdJE9RmD+Czw6Nj6I61NkrSA9QmI7avqJzMrbXnH4UqSJE2DPgGxMclhMytJVuEMq5K04PUZg3gb8Okkp7X1DUDn09WSpIWjz4NyNwKHJHkakKp6YPiyJEmTNuclpiR/mmRpVf2gqh5IskubaE+StID1GYN4TXufAwBVdQ/w2uFKkiRNgz4BsV2SnWZW2rsddpplf0nSAtBnkPq/Axcm+W+Mptz4XeCMQauSJE1cn0Hq/5TkKkZvhAP4YFV9ddiyJEmT1qcHAaM3v+3AqAfxneHKkSRNiz53Mb0BuIzRe6LfAFya5MjZj5IkPdn16UH8e+DgqroTIMky4O+Ac4csTJI0WX3uYloyEw7N3T2PkyQ9ifXpQXwlyVeBz7T1NwIXDFeSJGka9LmL6Q+THAH8KyDAmqr6/OCVSZImqtddTFX1OeBzA9ciSZoijiVIkjoZEJKkTpsNiCQXtp8fmr9yJEnTYrYxiD2TvAI4LMlZjAao/1lVfXvQyiRJEzVbQJwAHA/sDXxkk20FHDpUUZKkydtsQFTVucC5Sf5DVX1wHmuSJE2BPs9BfDDJYcDLW9NFVfWlYcuSJE1an8n6/gw4DriufY5rbZKkBazPg3KvAw6qqkcBkpzBaMrv9w1ZmCRpsvo+B7F0bPkZQxQiSZoufXoQfwZ8J8k3Gd3q+nLsPUjSgtdnkPozSS4CDmYUEO+tqv87dGGSpMnqdYmpqm6vqvOr6ry+4ZBknyTfTHJ9kmuTHNfad03y9SQ3tJ+7tPYkOTXJ+iRXJXnBlv9akqStNeRcTA8Df1BVzwEOAY5NcgCjh+8urKoVwIVtHeA1wIr2OQb4xIC1SZLmMFhAtF7Ht9vyA8D1wF7AKuCMttsZwOFteRVwZo38I7A0yZ5D1SdJmt2sAZFkSZJrtvZLkiwHng9cCuxRVbfDKESAn2u77QXcOnbYhtYmSZqAWQOiPftwZZJnbukXJHka8LfAu6rq/tl27Sqh43zHJFmbZO3GjRu3tCxJ0hz63Oa6J3BtksuAB2caq+qwuQ5MsgOjcPh0eysdwB1J9qyq29slpDtb+wZgn7HD9wZu2/ScVbUGWAOwcuXKnwoQSdK20Scg/mhLTpwkwOnA9VU1Phvs+cDRwJ+3n+eNtb+9TS3+YuC+mUtRkqT51+c5iIuTPAtYUVV/l+RngO16nPtlwO8AVye5orW9n1EwnJNkNXALcFTbdgHwWmA98EPgrU/oN5EkbVNzBkSS32N02+muwH6MBo7/CnjVbMdV1f+ie1yBrmOrqoBj56pHkjQ/+tzmeiyj3sD9AFV1A4/deSRJWqD6BMRDVfWTmZUk29Nxd5EkaWHpExAXJ3k/8JQkvw58FvjisGVJkiatT0AcD2wErgZ+n9Fg8geGLEqSNHl97mJ6tL0k6FJGl5a+1waUJUkLWJ+7mF7H6K6lGxndlbRvkt+vqv85dHGSpMnp86DcycArq2o9QJL9gC8DBoQkLWB9xiDunAmH5iYemx5DkrRAbbYHkeSItnhtkguAcxiNQRwFXD4PtUmSJmi2S0z/emz5DuAVbXkjsMtgFUmSpsJmA6KqnAtJkhaxPncx7Qu8A1g+vn+f6b4lSU9efe5i+gKjabu/CDw6bDmSpGnRJyB+XFWnDl6JJGmq9AmIjyU5Efga8NBMY1V9e7CqJEkT1ycgDmT04p9DeewSU7V1SdIC1ScgXg88e3zKb0nSwtfnSeorgaVDFyJJmi59ehB7AN9NcjmPH4PwNldJWsD6BMSJg1chSZo6fd4HcfF8FCJJmi59nqR+gMfeQb0jsAPwYFX97JCFSZImq08P4unj60kOB140WEWSpKnQ5y6mx6mqL+AzEJK04PW5xHTE2OoSYCWPXXKSJC1Qfe5iGn8vxMPAzcCqQaqRJE2NPmMQvhdCkhah2V45esIsx1VVfXCAeiRJU2K2HsSDHW1PBVYDuwEGhCQtYLO9cvTkmeUkTweOA94KnAWcvLnjJEkLw6xjEEl2Bd4NvBk4A3hBVd0zH4VJkiZrtjGIDwNHAGuAA6vqB/NWlSRp4mZ7UO4PgH8JfAC4Lcn97fNAkvvnpzxJ0qTMNgbxhJ+yliQtHIaAJKnTYAGR5JNJ7kxyzVjbrkm+nuSG9nOX1p4kpyZZn+SqJC8Yqi5JUj9D9iA+Bbx6k7bjgQuragVwYVsHeA2won2OAT4xYF2SpB4GC4iqugT4/ibNqxjdLkv7efhY+5k18o/A0iR7DlWbJGlu8z0GsUdV3Q7Qfv5ca98LuHVsvw2tTZI0IdMySJ2Ots4pxZMck2RtkrUbN24cuCxJWrzmOyDumLl01H7e2do3APuM7bc3cFvXCapqTVWtrKqVy5YtG7RYSVrM5jsgzgeObstHA+eNtb+l3c10CHDfzKUoSdJk9Hlh0BZJ8hngV4Hdk2wATgT+HDgnyWrgFuCotvsFwGuB9cAPGU0KKEmaoMECoqp+azObXtWxbwHHDlWLJOmJm5ZBaknSlDEgJEmdDAhJUicDQpLUyYCQJHUyICRJnQwISVInA0KS1MmAkCR1MiAkSZ0MCElSJwNCktTJgJAkdTIgJEmdDAhJUicDQpLUyYCQJHUyICRJnQwISVInA0KS1MmAkCR1MiAkSZ0MCElSp+0nXYCkbrf88YGTLkFT6JknXD1v32UPQpLUyYCQJHUyICRJnQwISVInA0KS1MmAkCR1MiAkSZ0MCElSJwNCktTJgJAkdTIgJEmdpiogkrw6yfeSrE9y/KTrkaTFbGoCIsl2wF8CrwEOAH4ryQGTrUqSFq+pCQjgRcD6qrqpqn4CnAWsmnBNkrRoTVNA7AXcOra+obVJkiZgmt4HkY62+qmdkmOAY9rqD5J8b9CqFpfdgbsmXcQ0yF8cPekS9Hj+3ZxxYtc/lU/Ys/rsNE0BsQHYZ2x9b+C2TXeqqjXAmvkqajFJsraqVk66DmlT/t2cjGm6xHQ5sCLJvkl2BN4EnD/hmiRp0ZqaHkRVPZzk7cBXge2AT1bVtRMuS5IWrakJCICqugC4YNJ1LGJeutO08u/mBKTqp8aBJUmaqjEISdIUMSDkFCeaWkk+meTOJNdMupbFyIBY5JziRFPuU8CrJ13EYmVAyClONLWq6hLg+5OuY7EyIOQUJ5I6GRDqNcWJpMXHgFCvKU4kLT4GhJziRFInA2KRq6qHgZkpTq4HznGKE02LJJ8BvgX8QpINSVZPuqbFxCepJUmd7EFIkjoZEJKkTgaEJKmTASFJ6mRASJI6GRBaMJL8iyRnJbkxyXVJLkjy80l+NcmXtvLcJyV5z1aeY3mSHyW5otV3ZpId2raVSU7dmvNL25oBoQUhSYDPAxdV1X5VdQDwfmCPbXDubfnmxRur6iDgQEZPrb8BoKrWVtU7t/bk27hWLXIGhBaKVwL/r6r+aqahqq6oqr9vq09Lcm6S7yb5dAsUkpyQ5PIk1yRZM9Z+UZI/TXIxcNz4FyXZL8lXkqxL8vdJfrG1H9XOc2WSS2YrtqoeAS6jTYw408tJsiTJzUmWjn3f+iR7JFmW5G9bvZcneVnbflKr/WvAmUl+KcllradyVZIVW/dHq8XKgNBC8cvAulm2Px94F6N3XjwbeFlrP62qDq6qXwaeAvzm2DFLq+oVVXXyJudaA7yjql4IvAf4eGs/AfiNqnoecNhsxSbZGXgx8JXx9qp6FDgPeH3b78XAzVV1B/Ax4JSqOhj4N8Bfjx36QmBVVf028DbgY62nspLRfFvSE2ZAaLG4rKo2tH+ArwCWt/ZXJrk0ydXAocAvjR1z9qYnSfI04KXAZ5NcAfwXYM+2+R+ATyX5PWC7zdSxXzvubuCWqrqqY5+zgTe25TeN1fFrwGnt+POBn03y9Lbt/Kr6UVv+FvD+JO8FnjXWLj0hBoQWimsZ/S96cx4aW34E2L79L/7jwJFVdSDwX4Gdx/Z7sOM8S4B7q+qgsc9zAKrqbcAHGM2Oe0WS3TqOnxmD2B84JElXT+NbwP5JlgGHA58b++6XjH3vXlX1wKa1VtX/YNSD+RHw1SSHbvZPRZqFAaGF4hvATu1/7wAkOTjJK2Y5ZiYM7mo9gyPn+pKquh/4P0mOat+RJM9ry/tV1aVVdQJwF4+fRn3T89wOHA+8r2NbMRpw/whwfVXd3TZ9jdHEijO/30Fd507ybOCmqjqVUU/juXP9XlIXA0ILQvtH9fXAr7fbXK8FTmKWd1tU1b2Meg1XA19gNPV5H28GVie5klHPZeYVrR9OcnWSa4BLgCvnOM8XgJ9J8isd284G/i2Pv8z1TmBlG3i+jtFYQ5c3Ate0S1G/CJzZ55eSNuVsrpKkTvYgJEmdDAhJUicDQpLUyYCQJHUyICRJnQwISVInA0KS1MmAkCR1+v8LTEFYw1dzdQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"CHAS\"],order=[0,1])  #纵轴对应样本数目，order参数控制离散值对应条形的位置或顺序\n",
    "plt.xlabel(\"Charles Rivers\")\n",
    "plt.ylabel(\"Number of occurrences\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'index of accessibility to radial highways')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial highways\", fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'pupil-teacher ratio by town')"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"PTRATIO\"])\n",
    "plt.xlabel(\"pupil-teacher ratio by town\", fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 两两特征间的相关性\n",
    "①数值特征——数值特征：可用DataFrame的corr函数计算一对数值特征之间的相关矩阵，再传给seaborn用heatmap函数，渲染出一个基于色彩编码的矩阵。有了相关性的信息后，如果特征之间高度相关（一些算法如OLS线性回归不好处理），可考虑做PCA降维（特征层面）或加正则项（模型层面）。散点图（scatter）则可以把两个数值特征的值显示为笛卡尔坐标下的点。\n",
    "②数值特征——离散特征：散点图中的点可以基于色彩（不同颜色或颜色深浅）或尺寸编码，以便在同一张图中输出第三种特征的维度。可用lmplot函数的hue参数来指定感兴趣的类别特征。\n",
    "③离散特征——离散特征：通过设置参数hue，在图形中加入类别维度。也可用传统统计工具：列联表（contingency table），又称为交叉制表（cross tabulation），使用表格形式表示多个类别变量的频率分布。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1、相关矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(14, 14)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x283e53dd9e8>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#获取数据特征索引名称\n",
    "cols = df.columns\n",
    "\n",
    "#计算相关矩阵，得到相关系数的绝对值，认为相关系数的绝对值大于0.5的特征对为强相关特征对，并突出此信息\n",
    "data_corr = df.corr()         #计算相关矩阵\n",
    "data_corr = data_corr.abs()   #取绝对值\n",
    "#plt.subplots(figsize=(13, 9))#改变输出热图的大小\n",
    "print(data_corr.shape)        #查看相关矩阵的维数（行列数）\n",
    "sns.heatmap(data_corr, mask=data_corr < 0.5, annot=True, cbar=True)#mask参数表掩模，突出强特征对信息，annot参数决定是否显示相关系数值，cbar参数决定是否显示颜色标尺"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.76\n",
      "AGE and DIS = 0.75\n",
      "LSTAT and MEDV = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.70\n",
      "NOX and TAX = 0.67\n",
      "ZN and DIS = 0.66\n",
      "INDUS and AGE = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "RM and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "INDUS and LSTAT = 0.60\n",
      "AGE and LSTAT = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "NOX and LSTAT = 0.59\n",
      "CRIM and TAX = 0.58\n",
      "ZN and AGE = 0.57\n",
      "TAX and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "AGE and TAX = 0.51\n",
      "PTRATIO and MEDV = 0.51\n"
     ]
    }
   ],
   "source": [
    "#下面将按从大到小顺序输出强相关特征对信息\n",
    "threshold = 0.5\n",
    "corr_list = []#设置一个空数组用于放置强相关特征对的相关系数\n",
    "size = data_corr.shape[0]#获取矩阵的行数（等于列数），用于循环索引\n",
    "\n",
    "#遍历相关矩阵，将>=0.5的相关系数放在corr_list[]里面\n",
    "for i in range(0, size):\n",
    "    for j in range(i+1, size):#避免重复\n",
    "        if (data_corr.iloc[i, j] >= threshold and data_corr.iloc[i, j] < 1):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j])#储存强特征对信息\n",
    "        \n",
    "#排序\n",
    "s_corr_list = sorted(corr_list, key=lambda x: -abs(x[0]))\n",
    "\n",
    "#打印\n",
    "for v, i, j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2、散点图（scatter）:matplotlib的scatter函数或seaborn的jointplot函数kind参数控制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x283e5a88080>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"], df[\"MEDV\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x283e5aa5f60>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=df[\"RM\"], y=df[\"MEDV\"], data=df, kind=\"scatter\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ncutxITaeTwK7ZosgqZPS7ha1TmU14N+B36Y0FSz2w5hz4UJsLusl7QGGgANm9vwscR+g1CRfAdzfDONaiQux8ewFzqnxWbmP+AngPEkX18rEzJ6hVLuuMrNfNd7MaOFCbDw/A5ZIur4cIOnTwInl+2CS683ALXPkdQslR6ftcSE2GCvNIrkMuDD4+WYv8E1mzpv8IbBU0m/OktePzeznoRkbIXz2jRMJvEZ0IoEL0YkELkQnErgQnUjgQnQigQvRiQQuRCcSuBCdSPD/Axy+tkevIO8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#散点图输出所有强相关特征对信息\n",
    "#将图片转为png格式，以避免SVG格式下plot慢\n",
    "%config InlineBackend.figure_format = \"png\"\n",
    "for v, i, j in s_corr_list:\n",
    "    sns.pairplot(df, x_vars=cols[i], y_vars=cols[j])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3、参数hue表类别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x283ed9857f0>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 408.625x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(\"RM\", \"MEDV\", data=df, hue=\"RAD\", fit_reg=False) #第一二个参数输入要对比的特征，hue参数输出第三维度的特征，fit_reg参数控制是否拟合数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x283e91348d0>"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#箱体图或提琴形图也可用hue参数控制多特征对比\n",
    "mf, maxes = plt.subplots(1, 2, sharey=False, figsize=(16,9))\n",
    "sns.boxplot(x=\"RAD\", y=\"MEDV\", data=df, ax=maxes[0])\n",
    "sns.violinplot(x=\"CHAS\", y=\"MEDV\",data=df, ax=maxes[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
